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Finding the Third Proportional to 12,274.88 and 18,407.25

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Solution

The third proportional to 12,274.88 and 18,407.25 is: 27,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.88 : 18,407.25 = 18,407.25 : x
  2. Step 2: Convert to fraction form
    12,274.88/18,407.25 = 18,407.25/x
  3. Step 3: Cross multiply
    12,274.88x = 18,407.25 × 18,407.25
  4. Step 4: Simplify right side
    12,274.88x = 338,826,852.56
  5. Step 5: Solve for x
    x = 338,826,852.56/12,274.88
  6. Step 6: Final answer
    x = 27,603.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.